Bäcklund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory (Cambridge Texts in Applied Mathematics, Series Number 30)
ISBN-13:
9780521813310
ISBN-10:
052181331X
Edition:
1
Author:
C. Rogers, W. K. Schief
Publication date:
2002
Publisher:
Cambridge University Press
Format:
Hardcover
432 pages
FREE US shipping
Book details
ISBN-13:
9780521813310
ISBN-10:
052181331X
Edition:
1
Author:
C. Rogers, W. K. Schief
Publication date:
2002
Publisher:
Cambridge University Press
Format:
Hardcover
432 pages
Summary
Bäcklund and Darboux Transformations: Geometry and Modern Applications in Soliton Theory (Cambridge Texts in Applied Mathematics, Series Number 30) (ISBN-13: 9780521813310 and ISBN-10: 052181331X), written by authors
C. Rogers, W. K. Schief, was published by Cambridge University Press in 2002.
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Description
This book describes the remarkable connections that exist between the classical differential geometry of surfaces and modern soliton theory. The authors also explore the extensive body of literature from the nineteenth and early twentieth centuries by such eminent geometers as Bianchi, Darboux, Bäcklund, and Eisenhart on transformations of privileged classes of surfaces which leave key geometric properties unchanged. Prominent amongst these are Bäcklund-Darboux transformations with their remarkable associated nonlinear superposition principles and importance in soliton theory.
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